Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter EMPTY. If no optimal solution exists because the region is unbounded, enter UNBOUNDED. Note that an unbounded region can still have an optimal solution while a bounded region is guaranteed to have optimal solutions. HINT [See Example 1.] Minimize cx + 2y subject to x +9y2 26. 3x + y 2 26 x ≥ 0, y 20. (x, y) = (

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 35E
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Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter EMPTY. If no optimal solution exists because the region is unbounded, enter UNBOUNDED. Note that an unbounded
region can still have an optimal solution while a bounded region is guaranteed to have optimal solutions. HINT [See Example 1.]
Minimize c = x + 2y subject to
x + 9y > 26
3x + y 2 26
x ≥ 0, y ≥ 0.
C =
-([
(x, y) =
Transcribed Image Text:Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter EMPTY. If no optimal solution exists because the region is unbounded, enter UNBOUNDED. Note that an unbounded region can still have an optimal solution while a bounded region is guaranteed to have optimal solutions. HINT [See Example 1.] Minimize c = x + 2y subject to x + 9y > 26 3x + y 2 26 x ≥ 0, y ≥ 0. C = -([ (x, y) =
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